118 lines
2.9 KiB
C++
118 lines
2.9 KiB
C++
// Copyright (c) 2005-2006 INRIA Sophia-Antipolis (France).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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//
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// Partially supported by the IST Programme of the EU as a Shared-cost
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// RTD (FET Open) Project under Contract No IST-2000-26473
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// (ECG - Effective Computational Geometry for Curves and Surfaces)
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// and a STREP (FET Open) Project under Contract No IST-006413
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// (ACS -- Algorithms for Complex Shapes)
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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Algebraic_kernel_for_spheres/include/CGAL/Polynomials_1_3.h $
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// $Id: Polynomials_1_3.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
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// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
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//
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// Author(s) : Monique Teillaud <Monique.Teillaud@sophia.inria.fr>
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// Sylvain Pion
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// Pedro Machado
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// Julien Hazebrouck
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// Damien Leroy
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#ifndef CGAL_ALGEBRAIC_KERNEL_POLYNOMIALS_1_3_H
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#define CGAL_ALGEBRAIC_KERNEL_POLYNOMIALS_1_3_H
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#include <CGAL/license/Circular_kernel_3.h>
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#include <CGAL/enum.h>
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namespace CGAL {
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// polynomials of the form aX + +bY + cZ + d
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template < typename FT_ >
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class Polynomial_1_3
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{
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FT_ rep[4]; // stores a, b, c, d
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public:
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typedef FT_ FT;
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Polynomial_1_3(){}
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Polynomial_1_3(const FT & a, const FT & b, const FT & c, const FT & d)
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{
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rep[0]=a;
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rep[1]=b;
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rep[2]=c;
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rep[3]=d;
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}
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const FT & a() const
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{ return rep[0]; }
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const FT & b() const
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{ return rep[1]; }
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const FT & c() const
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{ return rep[2]; }
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const FT & d() const
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{ return rep[3]; }
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bool undefined() const {
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return is_zero(a()) &&
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is_zero(b()) &&
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is_zero(c()) &&
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is_zero(d());
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}
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bool empty_space() const {
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return is_zero(a()) &&
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is_zero(b()) &&
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is_zero(c()) &&
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(!is_zero(d()));
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}
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};
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template < typename FT >
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inline
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bool
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operator == ( const Polynomial_1_3<FT> & p1,
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const Polynomial_1_3<FT> & p2 )
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{
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return( (p1.a() == p2.a()) &&
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(p1.b() == p2.b()) &&
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(p1.c() == p2.c()) &&
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(p1.d() == p2.d()) );
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}
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template < typename FT >
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inline
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bool
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same_solutions ( const Polynomial_1_3<FT> & p1,
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const Polynomial_1_3<FT> & p2 )
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{
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if(p1.undefined()) return p2.undefined();
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if(p1.empty_space()) return p2.empty_space();
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if(p2.undefined()) return false;
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if(p2.empty_space()) return false;
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if(is_zero(p1.a())) {
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if(!is_zero(p2.a())) return false;
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if(is_zero(p1.b())) {
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if(!is_zero(p2.b())) return false;
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return p1.c() * p2.d() == p1.d() * p2.c();
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}
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return (p2.c() * p1.b() == p1.c() * p2.b()) &&
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(p2.d() * p1.b() == p1.d() * p2.b());
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}
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return (p2.b() * p1.a() == p1.b() * p2.a()) &&
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(p2.c() * p1.a() == p1.c() * p2.a()) &&
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(p2.d() * p1.a() == p1.d() * p2.a());
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}
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} //namespace CGAL
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#endif //CGAL_ALGEBRAIC_KERNEL_POLYNOMIALS_1_3_H
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